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zbMATH Open
Article . 2024
Data sources: zbMATH Open
SIAM Journal on Mathematical Analysis
Article . 2024 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2024
License: CC BY
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Article . 2024
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Quasi-neutral Limit of Nernst–Planck–Navier–Stokes System

Quasi-neutral limit of Nernst-Planck-Navier-Stokes system
Authors: Ping Zhang; Yibin Zhang;

Quasi-neutral Limit of Nernst–Planck–Navier–Stokes System

Abstract

In this paper, we investigate the quasi-neutral limit of Nernst-Planck-Navier-Stokes system in a smooth bounded domain $Ω$ of $\mathbb{R}^d$ for $d=2,3,$ with ``electroneutral boundary conditions" and well-prepared data. We first prove by using modulated energy estimate that the solution sequence converges to the limit system in the norm of $L^\infty((0,T);L^2(Ω))$ for some positive time $T.$ In order to justify the limit in a stronger norm, we need to construct both the initial layers and weak boundary layers in the approximate solutions.

Related Organizations
Keywords

modulated energy estimate, Mathematics - Analysis of PDEs, 82C21, 82D15, 35Q92, Statistical mechanics of liquids, PDEs in connection with biology, chemistry and other natural sciences, quasi-neutral limit, FOS: Mathematics, Nernst-Planck-Navier-Stokes system, Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics, Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green